Highest Common Factor of 5378, 2935 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5378, 2935 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5378, 2935 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5378, 2935 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5378, 2935 is 1.
HCF(5378, 2935) = 1
HCF of 5378, 2935 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5378, 2935 is 1.
Highest Common Factor of 5378,2935 is 1
Step 1: Since 5378 > 2935, we apply the division lemma to 5378 and 2935, to get
5378 = 2935 x 1 + 2443
Step 2: Since the reminder 2935 ≠ 0, we apply division lemma to 2443 and 2935, to get
2935 = 2443 x 1 + 492
Step 3: We consider the new divisor 2443 and the new remainder 492, and apply the division lemma to get
2443 = 492 x 4 + 475
We consider the new divisor 492 and the new remainder 475,and apply the division lemma to get
492 = 475 x 1 + 17
We consider the new divisor 475 and the new remainder 17,and apply the division lemma to get
475 = 17 x 27 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5378 and 2935 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(475,17) = HCF(492,475) = HCF(2443,492) = HCF(2935,2443) = HCF(5378,2935) .
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Frequently Asked Questions on HCF of 5378, 2935 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5378, 2935?
Answer: HCF of 5378, 2935 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5378, 2935 using Euclid's Algorithm?
Answer: For arbitrary numbers 5378, 2935 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.